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Proofgold Asset
asset id
2c2bb632d130dc6b2d04485e2267410d9b717f3cbc98b926ea1b4efc17c6813f
asset hash
d3aa811b32a6fb09066507a88bf2f5a39b8a4d756a1c7e155ac9f87542627caf
bday / block
20666
tx
94f6f..
preasset
doc published by
Pr4zB..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Known
f6ab2..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x2
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
00508..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x3
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
e19c7..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x4
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
8c621..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x5
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
36ad1..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x6
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
5c63e..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x2
x7
x12
⟶
x11
x2
x2
x13
x14
⟶
x11
x2
x2
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
5283b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x2
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
2f8d6..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x3
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
9087a..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x4
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
626d5..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x5
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
e7c79..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x6
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
a2471..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x3
x7
x12
⟶
x11
x2
x3
x13
x14
⟶
x11
x2
x3
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
1a14c..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x2
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
d8067..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x3
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
dab7b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x4
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
e8380..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x5
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
84285..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x6
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
019e5..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x4
x7
x12
⟶
x11
x2
x4
x13
x14
⟶
x11
x2
x4
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
60705..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x2
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
78d86..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x3
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
33ee8..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x4
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
1b6ee..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x5
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
7d91b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x6
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
6381b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x5
x7
x12
⟶
x11
x2
x5
x13
x14
⟶
x11
x2
x5
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
8a53b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x2
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
15348..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x3
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
c700f..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x4
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
c7e2f..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x6
x5
x7
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x5
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
27e85..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x6
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
119b1..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x6
x7
x12
⟶
x11
x2
x6
x13
x14
⟶
x11
x2
x6
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
9354b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x2
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
cc3e4..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x3
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
ee4dd..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x4
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
4a25b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x6
x5
x7
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x5
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
b3eff..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x6
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
195dd..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x2
x7
x7
x12
⟶
x11
x2
x7
x13
x14
⟶
x11
x2
x7
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
b57ae..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x2
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
053c0..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x3
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
b5649..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x4
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
37dda..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x5
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
ab78e..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x6
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
ebcf0..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x2
x7
x12
⟶
x11
x4
x2
x13
x14
⟶
x11
x4
x2
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
a52aa..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x2
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
6bfe4..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x3
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
db860..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x4
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
2b47a..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x5
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
87d11..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x6
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
9af5f..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x3
x7
x12
⟶
x11
x4
x3
x13
x14
⟶
x11
x4
x3
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
fcacd..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x2
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
02249..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x3
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
eed5e..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x4
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
ac550..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x5
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
f9bf2..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x6
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
b92e4..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x4
x7
x12
⟶
x11
x4
x4
x13
x14
⟶
x11
x4
x4
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
454c0..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x2
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
79697..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x3
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
bd7c4..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x4
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
5a1f3..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x5
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
9cde8..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x6
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
9c410..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x5
x7
x12
⟶
x11
x4
x5
x13
x14
⟶
x11
x4
x5
x15
x16
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
1db72..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x6
x2
x12
⟶
x11
x4
x6
x13
x14
⟶
x11
x4
x6
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
e27c0..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x6
x3
x12
⟶
x11
x4
x6
x13
x14
⟶
x11
x4
x6
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
c29d7..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x6
x4
x12
⟶
x11
x4
x6
x13
x14
⟶
x11
x4
x6
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
e08a5..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x6
x6
x12
⟶
x11
x4
x6
x13
x14
⟶
x11
x4
x6
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
7508b..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x7
x2
x12
⟶
x11
x4
x7
x13
x14
⟶
x11
x4
x7
x15
x16
⟶
x11
x2
x12
x13
x14
⟶
x11
x2
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
be2fe..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x7
x3
x12
⟶
x11
x4
x7
x13
x14
⟶
x11
x4
x7
x15
x16
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
ce053..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x7
x4
x12
⟶
x11
x4
x7
x13
x14
⟶
x11
x4
x7
x15
x16
⟶
x11
x4
x12
x13
x14
⟶
x11
x4
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
759d1..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
x11
x4
x7
x6
x12
⟶
x11
x4
x7
x13
x14
⟶
x11
x4
x7
x15
x16
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x13
x14
x15
x16
⟶
False
Known
3a626..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x6
x6
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x6
x7
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x6
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x6
x7
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x6
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x6
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x7
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x6
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x5
x7
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x4
x6
x6
)
⟶
not
(
x11
x6
x5
x6
x7
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
∀ x17 .
x0
x17
⟶
∀ x18 .
x0
x18
⟶
x11
x3
x12
x13
x14
⟶
x11
x3
x12
x15
x16
⟶
x11
x3
x12
x17
x18
⟶
x11
x13
x14
x15
x16
⟶
x11
x13
x14
x17
x18
⟶
x11
x15
x16
x17
x18
⟶
False
Known
f1f7a..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x6
x6
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x6
x7
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x6
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x6
x7
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x6
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x7
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x6
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x5
x7
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
∀ x17 .
x0
x17
⟶
∀ x18 .
x0
x18
⟶
x11
x5
x12
x13
x14
⟶
x11
x5
x12
x15
x16
⟶
x11
x5
x12
x17
x18
⟶
x11
x13
x14
x15
x16
⟶
x11
x13
x14
x17
x18
⟶
x11
x15
x16
x17
x18
⟶
False
Known
47abe..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x6
x6
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x6
x7
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x6
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x6
x7
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x6
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x4
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x6
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x7
)
⟶
not
(
x11
x5
x4
x6
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x6
x6
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x6
x7
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
not
(
x11
x6
x6
x6
x7
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
∀ x17 .
x0
x17
⟶
∀ x18 .
x0
x18
⟶
x11
x6
x12
x13
x14
⟶
x11
x6
x12
x15
x16
⟶
x11
x6
x12
x17
x18
⟶
x11
x13
x14
x15
x16
⟶
x11
x13
x14
x17
x18
⟶
x11
x15
x16
x17
x18
⟶
False
Known
af47a..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x6
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x3
x6
x7
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x6
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x6
x7
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x6
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x5
x2
x5
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x6
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x7
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x6
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x6
x6
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x6
x7
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
not
(
x11
x6
x6
x6
x7
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
∀ x17 .
x0
x17
⟶
∀ x18 .
x0
x18
⟶
x11
x7
x12
x13
x14
⟶
x11
x7
x12
x15
x16
⟶
x11
x7
x12
x17
x18
⟶
x11
x13
x14
x15
x16
⟶
x11
x13
x14
x17
x18
⟶
x11
x15
x16
x17
x18
⟶
False
Known
FalseE
FalseE
:
False
⟶
∀ x0 : ο .
x0
Theorem
0e1c2..
:
∀ x0 x1 :
ι → ο
.
∀ x2 x3 x4 x5 x6 x7 .
(
∀ x8 :
ι → ο
.
x8
x2
⟶
x8
x3
⟶
x8
x4
⟶
x8
x5
⟶
x8
x6
⟶
x8
x7
⟶
∀ x9 .
x0
x9
⟶
x8
x9
)
⟶
x0
x2
⟶
x0
x3
⟶
x0
x4
⟶
x0
x5
⟶
x0
x6
⟶
x0
x7
⟶
x1
x2
⟶
x1
x3
⟶
x1
x4
⟶
x1
x5
⟶
∀ x8 x9 x10 :
ι → ι
.
x8
x2
=
x3
⟶
x8
x3
=
x2
⟶
x8
x4
=
x5
⟶
x8
x5
=
x4
⟶
x9
x2
=
x4
⟶
x9
x3
=
x5
⟶
x9
x4
=
x2
⟶
x9
x5
=
x3
⟶
x10
x2
=
x5
⟶
x10
x3
=
x4
⟶
x10
x4
=
x3
⟶
x10
x5
=
x2
⟶
∀ x11 :
ι →
ι →
ι →
ι → ο
.
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x12
x13
)
)
⟶
(
∀ x12 x13 x14 x15 .
x11
x12
x13
x14
x15
⟶
x11
x14
x15
x12
x13
)
⟶
(
∀ x12 x13 .
x0
x12
⟶
x0
x13
⟶
not
(
x11
x12
x13
x7
x7
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x8
x13
)
x14
(
x8
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x9
x13
)
x14
(
x9
x15
)
)
)
⟶
(
∀ x12 x13 x14 x15 .
x0
x12
⟶
x1
x13
⟶
x0
x14
⟶
x1
x15
⟶
not
(
x11
x12
x13
x14
x15
)
⟶
not
(
x11
x12
(
x10
x13
)
x14
(
x10
x15
)
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x5
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x4
x7
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x6
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x7
x6
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x6
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x2
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x4
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x7
x6
x7
x12
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x2
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x2
x3
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x5
x5
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x2
x12
x6
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x3
x12
x7
)
)
⟶
(
∀ x12 .
x0
x12
⟶
not
(
x11
x6
x7
x12
x7
)
)
⟶
not
(
x11
x2
x2
x2
x3
)
⟶
not
(
x11
x2
x2
x2
x5
)
⟶
not
(
x11
x2
x2
x3
x4
)
⟶
not
(
x11
x2
x2
x3
x5
)
⟶
not
(
x11
x2
x2
x4
x2
)
⟶
not
(
x11
x2
x2
x4
x3
)
⟶
not
(
x11
x2
x2
x5
x2
)
⟶
not
(
x11
x2
x2
x5
x5
)
⟶
not
(
x11
x2
x2
x6
x2
)
⟶
not
(
x11
x2
x2
x6
x3
)
⟶
not
(
x11
x2
x2
x7
x3
)
⟶
not
(
x11
x2
x2
x7
x6
)
⟶
not
(
x11
x2
x3
x4
x2
)
⟶
not
(
x11
x2
x3
x6
x2
)
⟶
not
(
x11
x2
x3
x7
x2
)
⟶
not
(
x11
x2
x4
x2
x6
)
⟶
not
(
x11
x2
x4
x3
x2
)
⟶
not
(
x11
x2
x4
x3
x7
)
⟶
not
(
x11
x2
x4
x4
x7
)
⟶
not
(
x11
x2
x4
x5
x6
)
⟶
not
(
x11
x2
x4
x7
x6
)
⟶
not
(
x11
x2
x5
x2
x7
)
⟶
not
(
x11
x2
x5
x3
x2
)
⟶
not
(
x11
x2
x5
x3
x6
)
⟶
not
(
x11
x2
x5
x4
x6
)
⟶
not
(
x11
x2
x5
x5
x2
)
⟶
not
(
x11
x2
x5
x5
x7
)
⟶
not
(
x11
x2
x5
x7
x6
)
⟶
not
(
x11
x2
x6
x2
x7
)
⟶
not
(
x11
x2
x6
x3
x2
)
⟶
not
(
x11
x2
x6
x3
x5
)
⟶
not
(
x11
x2
x6
x3
x6
)
⟶
not
(
x11
x2
x6
x3
x7
)
⟶
not
(
x11
x2
x6
x4
x3
)
⟶
not
(
x11
x2
x6
x4
x4
)
⟶
not
(
x11
x2
x6
x5
x3
)
⟶
not
(
x11
x2
x6
x5
x4
)
⟶
not
(
x11
x2
x6
x6
x5
)
⟶
not
(
x11
x2
x6
x7
x2
)
⟶
not
(
x11
x2
x6
x7
x3
)
⟶
not
(
x11
x2
x6
x7
x4
)
⟶
not
(
x11
x2
x6
x7
x5
)
⟶
not
(
x11
x2
x7
x3
x3
)
⟶
not
(
x11
x2
x7
x3
x4
)
⟶
not
(
x11
x2
x7
x3
x6
)
⟶
not
(
x11
x2
x7
x3
x7
)
⟶
not
(
x11
x2
x7
x4
x2
)
⟶
not
(
x11
x2
x7
x4
x5
)
⟶
not
(
x11
x2
x7
x5
x2
)
⟶
not
(
x11
x2
x7
x6
x4
)
⟶
not
(
x11
x2
x7
x7
x2
)
⟶
not
(
x11
x2
x7
x7
x3
)
⟶
not
(
x11
x2
x7
x7
x4
)
⟶
not
(
x11
x2
x7
x7
x5
)
⟶
not
(
x11
x3
x2
x3
x3
)
⟶
not
(
x11
x3
x2
x3
x5
)
⟶
not
(
x11
x3
x2
x3
x6
)
⟶
not
(
x11
x3
x2
x4
x3
)
⟶
not
(
x11
x3
x2
x4
x4
)
⟶
not
(
x11
x3
x2
x4
x5
)
⟶
not
(
x11
x3
x2
x4
x7
)
⟶
not
(
x11
x3
x2
x5
x2
)
⟶
not
(
x11
x3
x2
x5
x7
)
⟶
not
(
x11
x3
x2
x6
x2
)
⟶
not
(
x11
x3
x2
x6
x5
)
⟶
not
(
x11
x3
x2
x6
x6
)
⟶
not
(
x11
x3
x2
x7
x2
)
⟶
not
(
x11
x3
x2
x7
x4
)
⟶
not
(
x11
x3
x2
x7
x5
)
⟶
not
(
x11
x3
x2
x7
x6
)
⟶
not
(
x11
x3
x3
x3
x7
)
⟶
not
(
x11
x3
x3
x4
x2
)
⟶
not
(
x11
x3
x3
x4
x6
)
⟶
not
(
x11
x3
x3
x5
x6
)
⟶
not
(
x11
x3
x3
x6
x7
)
⟶
not
(
x11
x3
x3
x7
x6
)
⟶
not
(
x11
x3
x4
x3
x6
)
⟶
not
(
x11
x3
x4
x4
x2
)
⟶
not
(
x11
x3
x4
x4
x7
)
⟶
not
(
x11
x3
x4
x5
x6
)
⟶
not
(
x11
x3
x4
x6
x6
)
⟶
not
(
x11
x3
x4
x7
x2
)
⟶
not
(
x11
x3
x4
x7
x6
)
⟶
not
(
x11
x3
x5
x3
x7
)
⟶
not
(
x11
x3
x5
x4
x2
)
⟶
not
(
x11
x3
x5
x4
x6
)
⟶
not
(
x11
x3
x5
x5
x7
)
⟶
not
(
x11
x3
x5
x6
x2
)
⟶
not
(
x11
x3
x5
x6
x7
)
⟶
not
(
x11
x3
x5
x7
x2
)
⟶
not
(
x11
x3
x5
x7
x6
)
⟶
not
(
x11
x3
x6
x4
x2
)
⟶
not
(
x11
x3
x6
x4
x4
)
⟶
not
(
x11
x3
x6
x4
x6
)
⟶
not
(
x11
x3
x6
x4
x7
)
⟶
not
(
x11
x3
x6
x5
x2
)
⟶
not
(
x11
x3
x6
x5
x3
)
⟶
not
(
x11
x3
x6
x5
x4
)
⟶
not
(
x11
x3
x6
x5
x5
)
⟶
not
(
x11
x3
x6
x6
x3
)
⟶
not
(
x11
x3
x6
x6
x4
)
⟶
not
(
x11
x3
x6
x6
x5
)
⟶
not
(
x11
x3
x6
x6
x6
)
⟶
not
(
x11
x3
x6
x7
x2
)
⟶
not
(
x11
x3
x6
x7
x4
)
⟶
not
(
x11
x3
x7
x4
x3
)
⟶
not
(
x11
x3
x7
x4
x5
)
⟶
not
(
x11
x3
x7
x4
x6
)
⟶
not
(
x11
x3
x7
x4
x7
)
⟶
not
(
x11
x3
x7
x5
x2
)
⟶
not
(
x11
x3
x7
x5
x3
)
⟶
not
(
x11
x3
x7
x5
x4
)
⟶
not
(
x11
x3
x7
x6
x2
)
⟶
not
(
x11
x3
x7
x6
x4
)
⟶
not
(
x11
x3
x7
x6
x5
)
⟶
not
(
x11
x3
x7
x7
x3
)
⟶
not
(
x11
x3
x7
x7
x5
)
⟶
not
(
x11
x4
x2
x4
x4
)
⟶
not
(
x11
x4
x2
x4
x5
)
⟶
not
(
x11
x4
x2
x4
x7
)
⟶
not
(
x11
x4
x2
x5
x2
)
⟶
not
(
x11
x4
x2
x5
x5
)
⟶
not
(
x11
x4
x2
x5
x6
)
⟶
not
(
x11
x4
x2
x6
x2
)
⟶
not
(
x11
x4
x2
x6
x3
)
⟶
not
(
x11
x4
x2
x7
x2
)
⟶
not
(
x11
x4
x2
x7
x3
)
⟶
not
(
x11
x4
x2
x7
x5
)
⟶
not
(
x11
x4
x3
x4
x6
)
⟶
not
(
x11
x4
x3
x5
x7
)
⟶
not
(
x11
x4
x3
x6
x2
)
⟶
not
(
x11
x4
x3
x7
x2
)
⟶
not
(
x11
x4
x4
x4
x7
)
⟶
not
(
x11
x4
x4
x5
x7
)
⟶
not
(
x11
x4
x5
x4
x6
)
⟶
not
(
x11
x4
x5
x5
x2
)
⟶
not
(
x11
x4
x5
x5
x6
)
⟶
not
(
x11
x4
x5
x7
x2
)
⟶
not
(
x11
x4
x6
x6
x4
)
⟶
not
(
x11
x4
x7
x6
x5
)
⟶
not
(
x11
x5
x2
x5
x4
)
⟶
not
(
x11
x5
x2
x5
x5
)
⟶
not
(
x11
x5
x2
x5
x7
)
⟶
not
(
x11
x5
x2
x6
x2
)
⟶
not
(
x11
x5
x2
x6
x3
)
⟶
not
(
x11
x5
x2
x6
x5
)
⟶
not
(
x11
x5
x2
x6
x6
)
⟶
not
(
x11
x5
x2
x7
x4
)
⟶
not
(
x11
x5
x2
x7
x5
)
⟶
not
(
x11
x5
x3
x5
x6
)
⟶
not
(
x11
x5
x3
x6
x2
)
⟶
not
(
x11
x5
x3
x6
x7
)
⟶
not
(
x11
x5
x4
x5
x6
)
⟶
not
(
x11
x5
x4
x6
x6
)
⟶
not
(
x11
x5
x4
x7
x2
)
⟶
not
(
x11
x5
x5
x6
x2
)
⟶
not
(
x11
x5
x5
x7
x2
)
⟶
not
(
x11
x5
x6
x5
x7
)
⟶
not
(
x11
x5
x6
x7
x2
)
⟶
not
(
x11
x5
x6
x7
x5
)
⟶
not
(
x11
x5
x6
x7
x6
)
⟶
not
(
x11
x5
x7
x7
x3
)
⟶
not
(
x11
x5
x7
x7
x4
)
⟶
not
(
x11
x5
x7
x7
x6
)
⟶
not
(
x11
x6
x2
x6
x3
)
⟶
not
(
x11
x6
x2
x7
x4
)
⟶
not
(
x11
x6
x2
x7
x5
)
⟶
not
(
x11
x6
x3
x7
x6
)
⟶
not
(
x11
x6
x4
x6
x6
)
⟶
not
(
x11
x6
x4
x7
x2
)
⟶
not
(
x11
x6
x4
x7
x6
)
⟶
not
(
x11
x6
x5
x6
x7
)
⟶
not
(
x11
x6
x5
x7
x2
)
⟶
not
(
x11
x6
x5
x7
x6
)
⟶
not
(
x11
x6
x6
x6
x7
)
⟶
not
(
x11
x7
x2
x7
x3
)
⟶
not
(
x11
x7
x2
x7
x4
)
⟶
∀ x12 .
x0
x12
⟶
∀ x13 .
x0
x13
⟶
∀ x14 .
x0
x14
⟶
∀ x15 .
x0
x15
⟶
∀ x16 .
x0
x16
⟶
∀ x17 .
x0
x17
⟶
∀ x18 .
x0
x18
⟶
∀ x19 .
x0
x19
⟶